Answer:
the asnwers is 0.16
Step-by-step explanation:
exponential laws
Answer:
The height of the ladder above the ground is 25.4306 ft
Step-by-step explanation:
The length of the ladder represents the hypotenuse of the right angle triangle.
The ground distance from the base of the building to the foot of the ladder represents the adjacent side of the right angle triangle.
Therefore, to determine how high up is the top of the ladder from the ground,x which represents the opposite side of the right angle triangle, we would apply trigonometric ratio,
Sin θ = opposite side/hypotenuse
Sin 78 = x/26
x = 26Sin78 = 26 × 0.9781
x = 25.4306 ft
Answer: 8 inches
Solving Steps:
x(x + 6) = 112
x^2 + 6x = 112
x^2 + 6x - 112 = 0
(x + 14)(x - 8) = 0
x + 14 = 0
x = -14
^^^ reject because distance can’t be negative
x - 8 = 0
x = 8
Check:
x(x + 6) = 112
8(8 + 6) = 112
64 + 48 = 112
112 = 112
To find the solution
-4x>36
divide both sides by -4
(REMEMBER WHEN YOU DIVIDE BY A NEGATIVE, THE SIGN FLIPS OVER)
x < -36/4
simplified
x < -9
Hope this helps :)